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Side QR of triangle PQR is produced to S. Exterior angle PRS = 117° and angle PQR = 53°. Find the interior angle PRQ (in degrees).

Class 7Exterior Angle PropertyTriangles
  • A63
  • B64
  • C57
  • D126

Step-by-Step Solution

Angles PRQ and PRS form a linear pair, so PRQ = 180° − 117° = 63°. (Check: QPR = 117° − 53° = 64°, and 53° + 64° + 63° = 180°.)
Answer: A) 63

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